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log sub 4 of ,25 + 3 log sub 4 of x =5 log sub 4 of 2 + 1/3 log sub 4 of 64 please help me figure out how to solve it 

 Dec 5, 2014

Best Answer 

 #1
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Let's look at log₄(0.25):

It will be easy to write the log₄ if we can write 0.25 as 4ⁿ (that's expressing 4 to some power n)

because the log then is that power n

It happens that 0.25 = 1/4 = 4⁻¹

So we are really looking at log₄ (4⁻¹)

and this simplifies to just -1 (see that power, well that's the log!)

 

Now, you have to do the same thing with log₄(2)

and also log₄(64) (but this last one is very easy).

 

Having done that, you are well on the way .....

 

 Dec 5, 2014
 #1
avatar
+5
Best Answer

Let's look at log₄(0.25):

It will be easy to write the log₄ if we can write 0.25 as 4ⁿ (that's expressing 4 to some power n)

because the log then is that power n

It happens that 0.25 = 1/4 = 4⁻¹

So we are really looking at log₄ (4⁻¹)

and this simplifies to just -1 (see that power, well that's the log!)

 

Now, you have to do the same thing with log₄(2)

and also log₄(64) (but this last one is very easy).

 

Having done that, you are well on the way .....

 

Guest Dec 5, 2014

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